Logarithmic spiral


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a spiral curve such that radii drawn from its pole or eye at equal angles with each other are in continual proportion. See Spiral.

See also: Logarithmic

References in periodicals archive ?
Logarithmic spiral defines Galaxie[R] as an independent gearbox generation
Line CD is assumed to be a logarithmic spiral line, as shown in Figure 11.
Next, based on equation of state for the stress on any microelement in an object under external load and (14) and (15), the shear stress, [[tau].sub.p], and the normal stress, [[sigma].sub.p], at any point on the logarithmic spiral are
Equation (2) represents a discrete logarithmic spiral with convergence point set at the origin.
The motion produced by the lobed cam traces a logarithmic spiral, which looks like part of a snail's shell or an arm of a spiral galaxy (which gives the drive its name).
In a logarithmic spiral, this angle, the spiral's "camming angle," never varies.
This includes Euler spiral, logarithmic spiral, circle involute, Nielsen spiral, LAC, and GCS as the members of GLAC.
Its shell forms a logarithmic spiral to accommodate the growth without changing shape." A handful of black-and-white pictures, a wealth of websites for future reference, and more enhance this enlightening guide, also available in an enhanced e-book version with active links.
Such a process will be illustrated by several examples, all more or less dealing with the exponential dependence, especially its manifestation through the shape of the logarithmic spiral, that will be solved by means of the free open source software GeoGebra [17] and wxMaxima [19].
Furthermore, if we were to draw quarter circles from the diagonal corners of each of these squares and connect them, as shown in Figure 2, we would achieve a "logarithmic spiral." (21) Due to its wonderful property of never changing its shape when it increases in size this spiral was dubbed the spira mirabilis (wonderful spiral) by the seventeenth-century Swiss mathematician Jacques Bernoulli.
This approach is put to a test by assigning each elementary particles mass a position on a logarithmic spiral. Particles then accumulate on straight lines.